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1452300668208 = 2432131789433651
BaseRepresentation
bin10101001000100011110…
…111011000110100110000
312010211122022221000120100
4111020203313120310300
5142243302432340313
63031102215312400
7206632235666205
oct25104367306460
95124568830510
101452300668208
1150aa0a958425
121b557067b700
13a6c4a1c3c20
14504126ddcac
1527b9e9a9173
hex15223dd8d30

1452300668208 has 120 divisors (see below), whose sum is σ = 4379529605360. Its totient is φ = 446610931200.

The previous prime is 1452300668201. The next prime is 1452300668251. The reversal of 1452300668208 is 8028660032541.

It is not an unprimeable number, because it can be changed into a prime (1452300668201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132183 + ... + 3565833.

Almost surely, 21452300668208 is an apocalyptic number.

1452300668208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452300668208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189764802680).

1452300668208 is an abundant number, since it is smaller than the sum of its proper divisors (2927228937152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1452300668208 is a wasteful number, since it uses less digits than its factorization.

1452300668208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435467 (or 435458 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1452300668208 in words is "one trillion, four hundred fifty-two billion, three hundred million, six hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1789 1872 3578 5367 7156 10734 14312 16101 21468 23257 28624 32202 42936 46514 64404 69771 85872 93028 128808 139542 186056 209313 257616 279084 372112 418626 433651 558168 837252 867302 1116336 1300953 1674504 1734604 2601906 3349008 3469208 3902859 5203812 5637463 6938416 7805718 10407624 11274926 15611436 16912389 20815248 22549852 31222872 33824778 45099704 50737167 62445744 67649556 90199408 101474334 135299112 202948668 270598224 405897336 775801639 811794672 1551603278 2327404917 3103206556 4654809834 6206413112 6982214751 9309619668 10085421307 12412826224 13964429502 18619239336 20170842614 27928859004 30256263921 37238478672 40341685228 55857718008 60512527842 80683370456 90768791763 111715436016 121025055684 161366740912 181537583526 242050111368 363075167052 484100222736 726150334104 1452300668208